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Question

Assume a neutron and an electron bound to each other by gravitational force. Assuming Bohr's quantization rule. Find the expression for nth energy level.

A
12mev2
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B
14mev2
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C
18mev2
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D
mev2
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Solution

The correct option is A 12mev2
mevr=nh
mev2=m2ev2me=(nh)2mer2
Gmnmer2=mcv2r
Gmnmer2=(nh)2mer3
r=n2h2Gmnm2e
TE=KE+PE=12mev2Gmnmer=12mev2

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